198451440 has 120 divisors (see below), whose sum is σ = 727082928. Its totient is φ = 48107520.

The previous prime is 198451411. The next prime is 198451441. The reversal of 198451440 is 44154891.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 198451395 and 198451404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198451441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4609 + ... + 20448.

Almost surely, 2^198451440 is an apocalyptic number.

198451440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198451440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363541464).

198451440 is an abundant number, since it is smaller than the sum of its proper divisors (528631488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198451440 is a wasteful number, since it uses less digits than its factorization.

198451440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25087 (or 25078 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 198451440 is about 14087.2793682812. The cubic root of 198451440 is about 583.2902963260.

It can be divided in two parts, 198451 and 440, that added together give a palindrome (198891).

The spelling of 198451440 in words is "one hundred ninety-eight million, four hundred fifty-one thousand, four hundred forty".